Avoiding Unintentionally Correlated Shocks in Proxy Vector Autoregressive Analysis
避免代理变量 VAR 分析中非预期的冲击相关性AI 解读 ↓
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避免代理变量 VAR 分析中非预期的冲击相关性AI 解读 ↓
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Noting that the shocks in vector autoregressive models can be correlated if a number of shocks is identified individually by multiple proxy variables, we propose a Generalized Method of Moments (GMM) approach for estimation that enforces uncorrelated shocks.We point out that if each proxy identifies exactly one shock and is uncorrelated with all other shocks, uncorrelatedness of the shocks provides over-identifying restrictions that can be used in our approach to improve the estimation efficiency of the structural parameters.It also opens up the possibility to use Hansen's J-test to check the model specification.Our method generalizes other GMM proposals that work under more restrictive assumptions.We illustrate its usefulness by two empirical examples from the recent literature.
Two frequent approaches for identifying structural VARs are external instruments, which carry economic content but are often weak, and non-Gaussianity of the shocks, which provides statistical identification but carries no economic meaning. We combine the two strategies in a single generalized method of moments framework. This hybrid approach point-identifies the target shocks while also identifying the non-target shocks up to sign and ordering. Under suitable rank…
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依赖数据下高维矩约束的经验似然方法
Economic and financial models -- such as vector autoregressions, local projections, and multivariate volatility models -- feature complex dynamic interactions and spillovers across many time series. These models can be integrated into a unified framework, with high-dimensional parameters identified by moment conditions. As the number of parameters and moment conditions may surpass the sample size, we propose adding a double penalty to the empirical likelihood criterion to…